Study On The Causes And Countermeasures Of Psychological Mistakes In Middle School Students’ Mathematical Problem Solving

Problem solving is the kernel of mathematics learning in middle school.It is unavoidable for middle school students to make mistakes when they are trying to solve problems.The phenomenon of students’ repeated mistakes is also very common.As a mathematics teacher,we need to understand the mistakes that students made in solving mathematical problems comprehensively,and to analyze the essence of them.Problem solving mistakes can be divided into knowledge mistake,logical mistake,strategic mistake and psychological mistake at the macro level.The in-depth analysis of the problem of solving problems psychologically can reveal the essence of the students’ mistakes in deeper level and have important practical value.This dissertation mainly researches the following problems:(1)the relationship between the level of achievement and the psychological mistakes;(2)the influence of gender differences on psychological mistakes;(3)the performance of arts and science students in psychological mistakes;(4)the teachers’ mathematics mistakes teaching pattern.This dissertation is divided into five sections.The first section introduced the current research status of mathematical problem solving both here and abroad,and the research significance of this dissertation.The second section introduced the concept and several different aspects of the psychological mistakes of mathematical problem solving,and established a theoretical framework.The third part designed the questionnaire on the basis of the theoretical framework.The questionnaire was distributed to the senior second grade students of the survey school.Contingency table analysis and Pearson test were used to examine the relationship of students’ achievement level,gender,liberal arts,science and psychological mistakes.In the fourth section,the paper used the interview method to learn the mathematics teachers’ problem solving teaching.It summarized the attitudes and measure taken by teachers when they face the student’s mistakes.The fifth section,combined with the results of the questionnaires and interviews,gave some suggestions for teachers’ new teaching,exercises teaching of arts and science,gender based individual counseling and teachers’ personal professional development.